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International Journal of Non-Linear Mechanics(3)
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences(2)
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics(2)
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Chaos Control Methods Applied to Avoid Bifurcations in Pendulum Dynamics
Conference ObjectAbstract: This paper deals with the application of chaos controlmethods in order to perform bifurcation controPalabras claves:Delayed feedback control, Pendulum dynamics, Rotating solutionsAutores:De Paula A.S., Marian Wiercigroch, Pavlovskaia E.E., Savi M.A.Fuentes:scopusComputation of periodic orbits for piecewise linear oscillator by Harmonic Balance Methods
ArticleAbstract: In this paper, Harmonic Balance based methods, namely Incremental Harmonic Balance Method and the mePalabras claves:Computation of periodic orbits, Harmonic Balance with Alternative Frequency and Time, HB–AFT, IHBM, Incremental Harmonic Balance Method, Piecewise linear oscillator with playAutores:Antonio SE Chong, Marian Wiercigroch, Pavlovskaia E.E., Pei L.Fuentes:googlescopusArchetypal oscillator for smooth and discontinuous dynamics
ArticleAbstract: We propose an archetypal system to investigate transitions from smooth to discontinuous dynamics. InPalabras claves:Autores:Cao Q.J., Grebogi C., Marian Wiercigroch, Pavlovskaia E.E., T. Thompson J.M.Fuentes:scopusGlobal and local dynamics of drifting oscillator for different contact force models
Conference ObjectAbstract: Accurate description of the contact force between two impacting solid bodies is important in variousPalabras claves:Contact force models, Drifting impact oscillator, non-linear dynamicsAutores:Ajibose O.K., Akisanya A.R., Marian Wiercigroch, Pavlovskaia E.E.Fuentes:scopusNonlinear Dynamics of Vibro-Impact Systems: Theory and Experiments
Conference ObjectAbstract: Dynamics of a vibro-impact ground moling system is considered. Due to its structural complexity thePalabras claves:drift, Friction, Impact oscillator, nonlinear dynamicsAutores:Marian Wiercigroch, Pavlovskaia E.E.Fuentes:scopusLow-dimensional maps for piecewise smooth oscillators
ArticleAbstract: Dynamics of the piecewise smooth nonlinear oscillators is considered, for which, general methodologyPalabras claves:Autores:Marian Wiercigroch, Pavlovskaia E.E.Fuentes:scopusIntermittent control of coexisting attractors
ArticleAbstract: This paper proposes a new control method applicable for a class of non-autonomous dynamical systemsPalabras claves:coexisting attractors, Duffing oscillator, Impact oscillator, Intermittent control, Non-autonomous dynamical systemsAutores:Ing J., Liu Y., Marian Wiercigroch, Pavlovskaia E.E.Fuentes:scopusModelling of ground moling dynamics by an impact oscillator with a frictional slider
Conference ObjectAbstract: This paper describes current research into the mathematical modelling of a vibro-impact ground molinPalabras claves:Friction, Ground moling, Impact oscillator, nonlinear dynamicsAutores:Marian Wiercigroch, Pavlovskaia E.E., Rodger A.A., Woo K.C.Fuentes:scopusPiecewise linear approach to an archetypal oscillator for smooth and discontinuous dynamics
Conference ObjectAbstract: In a recent paper we examined a model of an arch bridge with viscous damping subjected to a sinusoidPalabras claves:Homoclinic-like orbit, Melnikov method, Piecewise linearization, Saddle-like singularityAutores:Cao Q.J., Grebogi C., Marian Wiercigroch, Pavlovskaia E.E., Thompson J.M.T.Fuentes:scopusInvisible grazings and dangerous bifurcations in impacting systems: The problem of narrow-band chaos
ArticleAbstract: We discovered a narrow band of chaos close to the grazing condition for a simple soft impact oscillaPalabras claves:Autores:Banerjee S., Ing J., Marian Wiercigroch, Pavlovskaia E.E., Reddy R.K.Fuentes:scopus